TSTP Solution File: SYO438^1 by cocATP---0.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : cocATP---0.2.0
% Problem : SYO438^1 : TPTP v7.5.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Mar 29 00:51:26 EDT 2022
% Result : Timeout 288.23s 288.54s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO438^1 : TPTP v7.5.0. Released v4.0.0.
% 0.12/0.12 % Command : python CASC.py /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % RAMPerCPU : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Mar 12 17:12:04 EST 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.34 ModuleCmd_Load.c(213):ERROR:105: Unable to locate a modulefile for 'python/python27'
% 0.20/0.35 Python 2.7.5
% 0.43/0.62 Using paths ['/home/cristobal/cocATP/CASC/TPTP/', '/export/starexec/sandbox2/benchmark/', '/export/starexec/sandbox2/benchmark/']
% 0.43/0.62 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^0.ax, trying next directory
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2045ab8>, <kernel.Type object at 0x2045170>) of role type named mu_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring mu:Type
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x20454d0>, <kernel.DependentProduct object at 0x2045ab8>) of role type named meq_ind_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring meq_ind:(mu->(mu->(fofType->Prop)))
% 0.43/0.62 FOF formula (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))) of role definition named meq_ind
% 0.43/0.62 A new definition: (((eq (mu->(mu->(fofType->Prop)))) meq_ind) (fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)))
% 0.43/0.62 Defined: meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2045ab8>, <kernel.DependentProduct object at 0x20458c0>) of role type named meq_prop_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring meq_prop:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))) of role definition named meq_prop
% 0.43/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) meq_prop) (fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))))
% 0.43/0.62 Defined: meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W)))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2045a70>, <kernel.DependentProduct object at 0x20454d0>) of role type named mnot_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring mnot:((fofType->Prop)->(fofType->Prop))
% 0.43/0.62 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))) of role definition named mnot
% 0.43/0.62 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mnot) (fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)))
% 0.43/0.62 Defined: mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x20454d0>, <kernel.DependentProduct object at 0x2045680>) of role type named mor_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring mor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))) of role definition named mor
% 0.43/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))))
% 0.43/0.62 Defined: mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W)))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2045680>, <kernel.DependentProduct object at 0x2045cb0>) of role type named mand_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring mand:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))) of role definition named mand
% 0.43/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mand) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))))
% 0.43/0.62 Defined: mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi))))
% 0.43/0.62 FOF formula (<kernel.Constant object at 0x2045cb0>, <kernel.DependentProduct object at 0x20456c8>) of role type named mimplies_type
% 0.43/0.62 Using role type
% 0.43/0.62 Declaring mimplies:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.43/0.62 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))) of role definition named mimplies
% 0.43/0.62 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplies) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)))
% 0.43/0.62 Defined: mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x20456c8>, <kernel.DependentProduct object at 0x2045d88>) of role type named mimplied_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mimplied:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))) of role definition named mimplied
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mimplied) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)))
% 0.47/0.63 Defined: mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2045d88>, <kernel.DependentProduct object at 0x2045290>) of role type named mequiv_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mequiv:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))) of role definition named mequiv
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mequiv) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))))
% 0.47/0.63 Defined: mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2045290>, <kernel.DependentProduct object at 0x20455f0>) of role type named mxor_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mxor:((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.63 FOF formula (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))) of role definition named mxor
% 0.47/0.63 A new definition: (((eq ((fofType->Prop)->((fofType->Prop)->(fofType->Prop)))) mxor) (fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))))
% 0.47/0.63 Defined: mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2045908>, <kernel.DependentProduct object at 0x2045680>) of role type named mforall_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))) of role definition named mforall_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mforall_ind) (fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))))
% 0.47/0.63 Defined: mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x2045cb0>, <kernel.DependentProduct object at 0x2af7384f15a8>) of role type named mforall_prop_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mforall_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))) of role definition named mforall_prop
% 0.47/0.63 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mforall_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))))
% 0.47/0.63 Defined: mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W)))
% 0.47/0.63 FOF formula (<kernel.Constant object at 0x203fd88>, <kernel.DependentProduct object at 0x2045ab8>) of role type named mexists_ind_type
% 0.47/0.63 Using role type
% 0.47/0.63 Declaring mexists_ind:((mu->(fofType->Prop))->(fofType->Prop))
% 0.47/0.63 FOF formula (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))) of role definition named mexists_ind
% 0.47/0.63 A new definition: (((eq ((mu->(fofType->Prop))->(fofType->Prop))) mexists_ind) (fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))))
% 0.47/0.64 Defined: mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x203fc20>, <kernel.DependentProduct object at 0x2af7384f1dd0>) of role type named mexists_prop_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mexists_prop:(((fofType->Prop)->(fofType->Prop))->(fofType->Prop))
% 0.47/0.64 FOF formula (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))) of role definition named mexists_prop
% 0.47/0.64 A new definition: (((eq (((fofType->Prop)->(fofType->Prop))->(fofType->Prop))) mexists_prop) (fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))))
% 0.47/0.64 Defined: mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P))))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2045908>, <kernel.DependentProduct object at 0x2af7384f1dd0>) of role type named mtrue_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mtrue:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True)) of role definition named mtrue
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mtrue) (fun (W:fofType)=> True))
% 0.47/0.64 Defined: mtrue:=(fun (W:fofType)=> True)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2045908>, <kernel.DependentProduct object at 0x2af7384f1dd0>) of role type named mfalse_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mfalse:(fofType->Prop)
% 0.47/0.64 FOF formula (((eq (fofType->Prop)) mfalse) (mnot mtrue)) of role definition named mfalse
% 0.47/0.64 A new definition: (((eq (fofType->Prop)) mfalse) (mnot mtrue))
% 0.47/0.64 Defined: mfalse:=(mnot mtrue)
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x20454d0>, <kernel.DependentProduct object at 0x2af7384f1dd0>) of role type named mbox_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mbox:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))) of role definition named mbox
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mbox) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))))
% 0.47/0.64 Defined: mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2af7384f18c0>, <kernel.DependentProduct object at 0x2af7384f15a8>) of role type named mdia_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mdia:((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))) of role definition named mdia
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop)))) mdia) (fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))))
% 0.47/0.64 Defined: mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi))))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2af7384f1518>, <kernel.DependentProduct object at 0x2048560>) of role type named mreflexive_type
% 0.47/0.64 Using role type
% 0.47/0.64 Declaring mreflexive:((fofType->(fofType->Prop))->Prop)
% 0.47/0.64 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))) of role definition named mreflexive
% 0.47/0.64 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mreflexive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))))
% 0.47/0.64 Defined: mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S)))
% 0.47/0.64 FOF formula (<kernel.Constant object at 0x2af7384f1518>, <kernel.DependentProduct object at 0x2048f80>) of role type named msymmetric_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring msymmetric:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))) of role definition named msymmetric
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) msymmetric) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))))
% 0.48/0.65 Defined: msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2af7384f15a8>, <kernel.DependentProduct object at 0x2048dd0>) of role type named mserial_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mserial:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))) of role definition named mserial
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mserial) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))))
% 0.48/0.65 Defined: mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T)))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x20229e0>, <kernel.DependentProduct object at 0x2048050>) of role type named mtransitive_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mtransitive:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))) of role definition named mtransitive
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mtransitive) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))))
% 0.48/0.65 Defined: mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2048050>, <kernel.DependentProduct object at 0x2048e60>) of role type named meuclidean_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring meuclidean:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))) of role definition named meuclidean
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) meuclidean) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))))
% 0.48/0.65 Defined: meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x2048e60>, <kernel.DependentProduct object at 0x20480e0>) of role type named mpartially_functional_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mpartially_functional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))) of role definition named mpartially_functional
% 0.48/0.65 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mpartially_functional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))))
% 0.48/0.65 Defined: mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U))))
% 0.48/0.65 FOF formula (<kernel.Constant object at 0x20480e0>, <kernel.DependentProduct object at 0x2048c20>) of role type named mfunctional_type
% 0.48/0.65 Using role type
% 0.48/0.65 Declaring mfunctional:((fofType->(fofType->Prop))->Prop)
% 0.48/0.65 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))) of role definition named mfunctional
% 0.48/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mfunctional) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))))
% 0.48/0.66 Defined: mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U))))))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2048c20>, <kernel.DependentProduct object at 0x2048098>) of role type named mweakly_dense_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mweakly_dense:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))) of role definition named mweakly_dense
% 0.48/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_dense) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))))
% 0.48/0.66 Defined: mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T))))))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2048098>, <kernel.DependentProduct object at 0x2048f80>) of role type named mweakly_connected_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mweakly_connected:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))) of role definition named mweakly_connected
% 0.48/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_connected) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))))
% 0.48/0.66 Defined: mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T)))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2048f80>, <kernel.DependentProduct object at 0x2048dd0>) of role type named mweakly_directed_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mweakly_directed:((fofType->(fofType->Prop))->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))) of role definition named mweakly_directed
% 0.48/0.66 A new definition: (((eq ((fofType->(fofType->Prop))->Prop)) mweakly_directed) (fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))))
% 0.48/0.66 Defined: mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V)))))))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2048ef0>, <kernel.DependentProduct object at 0x2048560>) of role type named mvalid_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring mvalid:((fofType->Prop)->Prop)
% 0.48/0.66 FOF formula (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))) of role definition named mvalid
% 0.48/0.66 A new definition: (((eq ((fofType->Prop)->Prop)) mvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))))
% 0.48/0.66 Defined: mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W)))
% 0.48/0.66 FOF formula (<kernel.Constant object at 0x2048f80>, <kernel.DependentProduct object at 0x2af730a1c200>) of role type named minvalid_type
% 0.48/0.66 Using role type
% 0.48/0.66 Declaring minvalid:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))) of role definition named minvalid
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) minvalid) (fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))))
% 0.48/0.67 Defined: minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False)))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2048e60>, <kernel.DependentProduct object at 0x2af730a1c5f0>) of role type named msatisfiable_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring msatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))) of role definition named msatisfiable
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) msatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))))
% 0.48/0.67 Defined: msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2048950>, <kernel.DependentProduct object at 0x2af730a1c5f0>) of role type named mcountersatisfiable_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mcountersatisfiable:((fofType->Prop)->Prop)
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))) of role definition named mcountersatisfiable
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->Prop)) mcountersatisfiable) (fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))))
% 0.48/0.67 Defined: mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False))))
% 0.48/0.67 Failed to open /home/cristobal/cocATP/CASC/TPTP/Axioms/LCL013^5.ax, trying next directory
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2045488>, <kernel.DependentProduct object at 0x2045320>) of role type named rel_s4_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring rel_s4:(fofType->(fofType->Prop))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2045440>, <kernel.DependentProduct object at 0x2045248>) of role type named mbox_s4_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mbox_s4:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))) of role definition named mbox_s4
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mbox_s4) (fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))))
% 0.48/0.67 Defined: mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V))))
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2045248>, <kernel.DependentProduct object at 0x2045cf8>) of role type named mdia_s4_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring mdia_s4:((fofType->Prop)->(fofType->Prop))
% 0.48/0.67 FOF formula (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))) of role definition named mdia_s4
% 0.48/0.67 A new definition: (((eq ((fofType->Prop)->(fofType->Prop))) mdia_s4) (fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))))
% 0.48/0.67 Defined: mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi))))
% 0.48/0.67 FOF formula (mreflexive rel_s4) of role axiom named a1
% 0.48/0.67 A new axiom: (mreflexive rel_s4)
% 0.48/0.67 FOF formula (mtransitive rel_s4) of role axiom named a2
% 0.48/0.67 A new axiom: (mtransitive rel_s4)
% 0.48/0.67 FOF formula (<kernel.Constant object at 0x2044d88>, <kernel.DependentProduct object at 0x2044cb0>) of role type named p_type
% 0.48/0.67 Using role type
% 0.48/0.67 Declaring p:(fofType->Prop)
% 0.48/0.67 FOF formula (mvalid ((mimplies (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))) (mbox_s4 (mdia_s4 p)))) of role conjecture named prove
% 0.48/0.67 Conjecture to prove = (mvalid ((mimplies (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))) (mbox_s4 (mdia_s4 p)))):Prop
% 0.48/0.67 Parameter mu_DUMMY:mu.
% 0.48/0.67 Parameter fofType_DUMMY:fofType.
% 0.48/0.67 We need to prove ['(mvalid ((mimplies (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))) (mbox_s4 (mdia_s4 p))))']
% 0.48/0.67 Parameter mu:Type.
% 0.48/0.67 Parameter fofType:Type.
% 0.48/0.67 Definition meq_ind:=(fun (X:mu) (Y:mu) (W:fofType)=> (((eq mu) X) Y)):(mu->(mu->(fofType->Prop))).
% 0.48/0.67 Definition meq_prop:=(fun (X:(fofType->Prop)) (Y:(fofType->Prop)) (W:fofType)=> (((eq Prop) (X W)) (Y W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mnot:=(fun (Phi:(fofType->Prop)) (W:fofType)=> ((Phi W)->False)):((fofType->Prop)->(fofType->Prop)).
% 0.48/0.67 Definition mor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop)) (W:fofType)=> ((or (Phi W)) (Psi W))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mand:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mor (mnot Phi)) (mnot Psi)))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mimplies:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Phi)) Psi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mimplied:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mor (mnot Psi)) Phi)):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mequiv:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> ((mand ((mimplies Phi) Psi)) ((mimplies Psi) Phi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mxor:=(fun (Phi:(fofType->Prop)) (Psi:(fofType->Prop))=> (mnot ((mequiv Phi) Psi))):((fofType->Prop)->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mforall_ind:=(fun (Phi:(mu->(fofType->Prop))) (W:fofType)=> (forall (X:mu), ((Phi X) W))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67 Definition mforall_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop))) (W:fofType)=> (forall (P:(fofType->Prop)), ((Phi P) W))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67 Definition mexists_ind:=(fun (Phi:(mu->(fofType->Prop)))=> (mnot (mforall_ind (fun (X:mu)=> (mnot (Phi X)))))):((mu->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67 Definition mexists_prop:=(fun (Phi:((fofType->Prop)->(fofType->Prop)))=> (mnot (mforall_prop (fun (P:(fofType->Prop))=> (mnot (Phi P)))))):(((fofType->Prop)->(fofType->Prop))->(fofType->Prop)).
% 0.48/0.67 Definition mtrue:=(fun (W:fofType)=> True):(fofType->Prop).
% 0.48/0.67 Definition mfalse:=(mnot mtrue):(fofType->Prop).
% 0.48/0.67 Definition mbox:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((R W) V)->False)) (Phi V)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mdia:=(fun (R:(fofType->(fofType->Prop))) (Phi:(fofType->Prop))=> (mnot ((mbox R) (mnot Phi)))):((fofType->(fofType->Prop))->((fofType->Prop)->(fofType->Prop))).
% 0.48/0.67 Definition mreflexive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((R S) S))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition msymmetric:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (((R S) T)->((R T) S)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mserial:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((R S) T))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mtransitive:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R T) U))->((R S) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition meuclidean:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((R T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mpartially_functional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->(((eq fofType) T) U)))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mfunctional:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType), ((ex fofType) (fun (T:fofType)=> ((and ((R S) T)) (forall (U:fofType), (((R S) U)->(((eq fofType) T) U)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mweakly_dense:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType), (fofType->(((R S) T)->((ex fofType) (fun (U:fofType)=> ((and ((R S) U)) ((R U) T)))))))):((fofType->(fofType->Prop))->Prop).
% 0.48/0.67 Definition mweakly_connected:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((or ((or ((R T) U)) (((eq fofType) T) U))) ((R U) T))))):((fofType->(fofType->Prop))->Prop).
% 3.53/3.71 Definition mweakly_directed:=(fun (R:(fofType->(fofType->Prop)))=> (forall (S:fofType) (T:fofType) (U:fofType), (((and ((R S) T)) ((R S) U))->((ex fofType) (fun (V:fofType)=> ((and ((R T) V)) ((R U) V))))))):((fofType->(fofType->Prop))->Prop).
% 3.53/3.71 Definition mvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), (Phi W))):((fofType->Prop)->Prop).
% 3.53/3.71 Definition minvalid:=(fun (Phi:(fofType->Prop))=> (forall (W:fofType), ((Phi W)->False))):((fofType->Prop)->Prop).
% 3.53/3.71 Definition msatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> (Phi W)))):((fofType->Prop)->Prop).
% 3.53/3.71 Definition mcountersatisfiable:=(fun (Phi:(fofType->Prop))=> ((ex fofType) (fun (W:fofType)=> ((Phi W)->False)))):((fofType->Prop)->Prop).
% 3.53/3.71 Parameter rel_s4:(fofType->(fofType->Prop)).
% 3.53/3.71 Definition mbox_s4:=(fun (Phi:(fofType->Prop)) (W:fofType)=> (forall (V:fofType), ((or (((rel_s4 W) V)->False)) (Phi V)))):((fofType->Prop)->(fofType->Prop)).
% 3.53/3.71 Definition mdia_s4:=(fun (Phi:(fofType->Prop))=> (mnot (mbox_s4 (mnot Phi)))):((fofType->Prop)->(fofType->Prop)).
% 3.53/3.71 Axiom a1:(mreflexive rel_s4).
% 3.53/3.71 Axiom a2:(mtransitive rel_s4).
% 3.53/3.71 Parameter p:(fofType->Prop).
% 3.53/3.71 Trying to prove (mvalid ((mimplies (mbox_s4 (mdia_s4 (mbox_s4 (mdia_s4 p))))) (mbox_s4 (mdia_s4 p))))
% 3.53/3.71 Found a10:=(a1 W):((rel_s4 W) W)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (x1 (a1 W)) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.53/3.71 Found a10:=(a1 W):((rel_s4 W) W)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (a1 W) as proof of ((rel_s4 W) V)
% 3.53/3.71 Found (x1 (a1 W)) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 3.53/3.71 Found a10:=(a1 S):((rel_s4 S) S)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (x1 (a1 S)) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.53/3.71 Found a10:=(a1 S):((rel_s4 S) S)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (a1 S) as proof of ((rel_s4 S) V)
% 3.53/3.71 Found (x1 (a1 S)) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 3.53/3.71 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 3.53/3.71 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 3.53/3.71 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found a10:=(a1 W):((rel_s4 W) W)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (x3 (a1 W)) as proof of False
% 8.76/8.93 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.76/8.93 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 8.76/8.93 Found a10:=(a1 W):((rel_s4 W) W)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V0)
% 8.76/8.93 Found (x3 (a1 W)) as proof of False
% 8.76/8.93 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 8.76/8.93 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 8.76/8.93 Found a10:=(a1 W):((rel_s4 W) W)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (x1 (a1 W)) as proof of False
% 8.76/8.93 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.76/8.93 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.76/8.93 Found a10:=(a1 W):((rel_s4 W) W)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (a1 W) as proof of ((rel_s4 W) V)
% 8.76/8.93 Found (x1 (a1 W)) as proof of False
% 8.76/8.93 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 8.76/8.93 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 8.76/8.93 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 8.76/8.93 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 8.76/8.93 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 8.76/8.93 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 8.76/8.93 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 11.48/11.67 Found a10:=(a1 W):((rel_s4 W) W)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (x3 (a1 W)) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 11.48/11.67 Found a10:=(a1 W):((rel_s4 W) W)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 11.48/11.67 Found (x3 (a1 W)) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 11.48/11.67 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 11.48/11.67 Found a10:=(a1 S):((rel_s4 S) S)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (x3 (a1 S)) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 11.48/11.67 Found a10:=(a1 S):((rel_s4 S) S)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 11.48/11.67 Found (x3 (a1 S)) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 11.48/11.67 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 11.48/11.67 Found a10:=(a1 W):((rel_s4 W) W)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (x1 (a1 W)) as proof of False
% 11.48/11.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 11.48/11.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 11.48/11.67 Found a10:=(a1 W):((rel_s4 W) W)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (a1 W) as proof of ((rel_s4 W) V)
% 11.48/11.67 Found (x1 (a1 W)) as proof of False
% 11.48/11.67 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 17.87/18.10 Found a10:=(a1 S):((rel_s4 S) S)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (x1 (a1 S)) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 17.87/18.10 Found a10:=(a1 S):((rel_s4 S) S)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V)
% 17.87/18.10 Found (x1 (a1 S)) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 17.87/18.10 Found a10:=(a1 V):((rel_s4 V) V)
% 17.87/18.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.87/18.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.87/18.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 17.87/18.10 Found (x1 (a1 V)) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 17.87/18.10 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 17.87/18.10 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 17.87/18.10 Found a10:=(a1 S):((rel_s4 S) S)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (x3 (a1 S)) as proof of False
% 17.87/18.10 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.87/18.10 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 17.87/18.10 Found a10:=(a1 S):((rel_s4 S) S)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 17.87/18.10 Found (x3 (a1 S)) as proof of False
% 17.87/18.10 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 17.87/18.10 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (x1 (a1 S)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V)
% 26.42/26.62 Found (x1 (a1 S)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 V):((rel_s4 V) V)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (x1 (a1 V)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 26.42/26.62 Found a10:=(a1 V):((rel_s4 V) V)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (x1 (a1 V)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 26.42/26.62 Found a10:=(a1 V):((rel_s4 V) V)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (x1 (a1 V)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found a10:=(a1 V):((rel_s4 V) V)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (a1 V) as proof of ((rel_s4 V) V0)
% 26.42/26.62 Found (x1 (a1 V)) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 26.42/26.62 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 W):((rel_s4 W) W)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found (a1 W) as proof of ((rel_s4 W) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found a10:=(a1 S):((rel_s4 S) S)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 26.42/26.62 Found (a1 S) as proof of ((rel_s4 S) V0)
% 28.13/28.28 Found a10:=(a1 V):((rel_s4 V) V)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (x1 (a1 V)) as proof of False
% 28.13/28.28 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.13/28.28 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 28.13/28.28 Found a10:=(a1 V):((rel_s4 V) V)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (a1 V) as proof of ((rel_s4 V) V0)
% 28.13/28.28 Found (x1 (a1 V)) as proof of False
% 28.13/28.28 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 28.13/28.28 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 28.13/28.28 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 28.13/28.28 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found a10:=(a1 W):((rel_s4 W) W)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (x3 (a1 W)) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 34.03/34.25 Found a10:=(a1 W):((rel_s4 W) W)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (x3 (a1 W)) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 34.03/34.25 Found a10:=(a1 W):((rel_s4 W) W)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (x3 (a1 W)) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 34.03/34.25 Found a10:=(a1 W):((rel_s4 W) W)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V0)
% 34.03/34.25 Found (x3 (a1 W)) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 34.03/34.25 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 34.03/34.25 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 34.03/34.25 Found a10:=(a1 W):((rel_s4 W) W)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V)
% 34.03/34.25 Found (a1 W) as proof of ((rel_s4 W) V)
% 34.03/34.25 Found (x1 (a1 W)) as proof of False
% 45.64/45.82 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 45.64/45.82 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 45.64/45.82 Found a10:=(a1 S):((rel_s4 S) S)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found a10:=(a1 S):((rel_s4 S) S)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found a10:=(a1 V):((rel_s4 V) V)
% 45.64/45.82 Found (a1 V) as proof of ((rel_s4 V) V0)
% 45.64/45.82 Found (a1 V) as proof of ((rel_s4 V) V0)
% 45.64/45.82 Found (a1 V) as proof of ((rel_s4 V) V0)
% 45.64/45.82 Found (x1 (a1 V)) as proof of False
% 45.64/45.82 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 45.64/45.82 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 45.64/45.82 Found a10:=(a1 S):((rel_s4 S) S)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 45.64/45.82 Found a10:=(a1 S):((rel_s4 S) S)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found (a1 S) as proof of ((rel_s4 S) V0)
% 45.64/45.82 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 45.64/45.83 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 45.64/45.83 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 45.64/45.83 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 45.64/45.83 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 45.64/45.83 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found a10:=(a1 W):((rel_s4 W) W)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (x3 (a1 W)) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.35/49.55 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 49.35/49.55 Found a10:=(a1 W):((rel_s4 W) W)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (x3 (a1 W)) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.35/49.55 Found a10:=(a1 W):((rel_s4 W) W)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (x3 (a1 W)) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.35/49.55 Found a10:=(a1 W):((rel_s4 W) W)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 49.35/49.55 Found (x3 (a1 W)) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of False
% 49.35/49.55 Found (fun (x3:(((rel_s4 W) V0)->False))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V0)->False)->False)
% 49.35/49.55 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)))
% 49.35/49.55 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 49.35/49.55 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 49.35/49.55 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 53.54/53.74 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 53.54/53.74 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 53.54/53.74 Found a10:=(a1 S):((rel_s4 S) S)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (x3 (a1 S)) as proof of False
% 53.54/53.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.54/53.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.54/53.74 Found a10:=(a1 W):((rel_s4 W) W)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found a10:=(a1 S):((rel_s4 S) S)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (a1 S) as proof of ((rel_s4 S) V0)
% 53.54/53.74 Found (x3 (a1 S)) as proof of False
% 53.54/53.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 53.54/53.74 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 53.54/53.74 Found a10:=(a1 W):((rel_s4 W) W)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found (a1 W) as proof of ((rel_s4 W) V0)
% 53.54/53.74 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 53.54/53.74 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 53.54/53.74 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 59.34/59.56 Found or_intror00:=(or_intror0 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)))
% 59.34/59.56 Found (or_intror0 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 59.34/59.56 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 59.34/59.56 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 59.34/59.56 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 59.34/59.56 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 59.34/59.56 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found a10:=(a1 S):((rel_s4 S) S)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (x3 (a1 S)) as proof of False
% 59.34/59.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 59.34/59.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 59.34/59.56 Found a10:=(a1 W):((rel_s4 W) W)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V)
% 59.34/59.56 Found (x1 (a1 W)) as proof of False
% 59.34/59.56 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of False
% 59.34/59.56 Found (fun (x1:(((rel_s4 W) V)->False))=> (x1 (a1 W))) as proof of ((((rel_s4 W) V)->False)->False)
% 59.34/59.56 Found a10:=(a1 W):((rel_s4 W) W)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 59.34/59.56 Found (a1 W) as proof of ((rel_s4 W) V0)
% 59.34/59.56 Found a10:=(a1 S):((rel_s4 S) S)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (a1 S) as proof of ((rel_s4 S) V0)
% 59.34/59.56 Found (x3 (a1 S)) as proof of False
% 59.34/59.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 59.34/59.56 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 59.34/59.56 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 59.34/59.56 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 63.14/63.31 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 63.14/63.31 Found a10:=(a1 W):((rel_s4 W) W)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 63.14/63.31 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 63.14/63.31 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 63.14/63.31 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 63.14/63.31 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 63.14/63.31 Found a10:=(a1 W):((rel_s4 W) W)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found (a1 W) as proof of ((rel_s4 W) V0)
% 63.14/63.31 Found x3:(((rel_s4 W) V0)->False)
% 63.14/63.31 Instantiate: V0:=V00:fofType;V:=W:fofType
% 63.14/63.31 Found x3 as proof of (((rel_s4 V) V00)->False)
% 63.14/63.31 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 63.14/63.31 Found ((or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 66.11/66.29 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 66.11/66.29 Found a10:=(a1 V):((rel_s4 V) V)
% 66.11/66.29 Found (a1 V) as proof of ((rel_s4 V) V00)
% 66.11/66.29 Found (a1 V) as proof of ((rel_s4 V) V00)
% 66.11/66.29 Found (a1 V) as proof of ((rel_s4 V) V00)
% 66.11/66.29 Found (x3 (a1 V)) as proof of False
% 66.11/66.29 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 66.11/66.29 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 66.11/66.29 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 66.11/66.29 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 66.11/66.29 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 66.11/66.29 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 66.11/66.29 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 66.11/66.29 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 66.11/66.29 Found a10:=(a1 W):((rel_s4 W) W)
% 66.11/66.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.11/66.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.11/66.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 66.11/66.29 Found x3:(((rel_s4 W) V0)->False)
% 66.11/66.29 Instantiate: V0:=V00:fofType
% 66.11/66.29 Found x3 as proof of (((rel_s4 V) V00)->False)
% 66.11/66.29 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 66.11/66.29 Found ((or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 66.11/66.29 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 68.21/68.43 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 68.21/68.43 Found a10:=(a1 V):((rel_s4 V) V)
% 68.21/68.43 Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.21/68.43 Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.21/68.43 Found (a1 V) as proof of ((rel_s4 V) V00)
% 68.21/68.43 Found (x3 (a1 V)) as proof of False
% 68.21/68.43 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 68.21/68.43 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 68.21/68.43 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 68.21/68.43 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 68.21/68.43 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 68.21/68.43 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found a10:=(a1 W):((rel_s4 W) W)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (x5 (a1 W)) as proof of False
% 72.93/73.10 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 72.93/73.10 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 72.93/73.10 Found x2:((rel_s4 V) V0)
% 72.93/73.10 Instantiate: V1:=V0:fofType;V:=W:fofType
% 72.93/73.10 Found x2 as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (x4 x2) as proof of False
% 72.93/73.10 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 72.93/73.10 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 72.93/73.10 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 72.93/73.10 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 72.93/73.10 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 72.93/73.10 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 72.93/73.10 Found a10:=(a1 W):((rel_s4 W) W)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 72.93/73.10 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (x5 (a1 W)) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.85/83.08 Found a10:=(a1 W):((rel_s4 W) W)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (x5 (a1 W)) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.85/83.08 Found x2:((rel_s4 V) V0)
% 82.85/83.08 Instantiate: V1:=V0:fofType
% 82.85/83.08 Found x2 as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (x4 x2) as proof of False
% 82.85/83.08 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 82.85/83.08 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.85/83.08 Found a10:=(a1 S):((rel_s4 S) S)
% 82.85/83.08 Found (a1 S) as proof of ((rel_s4 S) V)
% 82.85/83.08 Found (a1 S) as proof of ((rel_s4 S) V)
% 82.85/83.08 Found (a1 S) as proof of ((rel_s4 S) V)
% 82.85/83.08 Found (x1 (a1 S)) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 82.85/83.08 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 82.85/83.08 Found a10:=(a1 V):((rel_s4 V) V)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (x1 (a1 V)) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 82.85/83.08 Found a10:=(a1 W):((rel_s4 W) W)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (x5 (a1 W)) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 82.85/83.08 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 82.85/83.08 Found a10:=(a1 V):((rel_s4 V) V)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (a1 V) as proof of ((rel_s4 V) V0)
% 82.85/83.08 Found (x1 (a1 V)) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 82.85/83.08 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 82.85/83.08 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 82.85/83.08 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 82.85/83.08 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 82.85/83.08 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 82.85/83.08 Found (x3 (a1 V0)) as proof of False
% 82.85/83.08 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 82.85/83.08 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 82.85/83.08 Found a10:=(a1 W):((rel_s4 W) W)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (a1 W) as proof of ((rel_s4 W) V1)
% 82.85/83.08 Found (x4 (a1 W)) as proof of False
% 82.85/83.08 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 82.85/83.08 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 99.51/99.69 Found a10:=(a1 W):((rel_s4 W) W)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (x4 (a1 W)) as proof of False
% 99.51/99.69 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 99.51/99.69 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 99.51/99.69 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 99.51/99.69 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 99.51/99.69 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 99.51/99.69 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 99.51/99.69 Found (x3 (a1 V0)) as proof of False
% 99.51/99.69 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 99.51/99.69 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 99.51/99.69 Found a10:=(a1 W):((rel_s4 W) W)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (x3 (a1 W)) as proof of False
% 99.51/99.69 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 99.51/99.69 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 99.51/99.69 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 99.51/99.69 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found a10:=(a1 W):((rel_s4 W) W)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (a1 W) as proof of ((rel_s4 W) V1)
% 99.51/99.69 Found (x3 (a1 W)) as proof of False
% 99.51/99.69 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 99.51/99.69 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 99.51/99.69 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 99.51/99.69 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 99.51/99.69 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found a10:=(a1 S):((rel_s4 S) S)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (x3 (a1 S)) as proof of False
% 107.93/108.16 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 107.93/108.16 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 107.93/108.16 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 107.93/108.16 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)))
% 107.93/108.16 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found a10:=(a1 W):((rel_s4 W) W)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found a10:=(a1 S):((rel_s4 S) S)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (x3 (a1 S)) as proof of False
% 107.93/108.16 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 107.93/108.16 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 107.93/108.16 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)))
% 107.93/108.16 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 107.93/108.16 Found a10:=(a1 S):((rel_s4 S) S)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found (a1 S) as proof of ((rel_s4 S) V0)
% 107.93/108.16 Found a10:=(a1 W):((rel_s4 W) W)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 107.93/108.16 Found a10:=(a1 W):((rel_s4 W) W)
% 107.93/108.16 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found a10:=(a1 W):((rel_s4 W) W)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found a10:=(a1 S):((rel_s4 S) S)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (x3 (a1 S)) as proof of False
% 117.02/117.24 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 117.02/117.24 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 117.02/117.24 Found or_intror10:=(or_intror1 (((rel_s4 W) V1)->False)):((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)))
% 117.02/117.24 Found (or_intror1 (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 117.02/117.24 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 117.02/117.24 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 117.02/117.24 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 117.02/117.24 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V1)->False)) as proof of ((((rel_s4 W) V1)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 117.02/117.24 Found a10:=(a1 S):((rel_s4 S) S)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found a10:=(a1 W):((rel_s4 W) W)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found a10:=(a1 W):((rel_s4 W) W)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found (a1 W) as proof of ((rel_s4 W) V0)
% 117.02/117.24 Found a10:=(a1 S):((rel_s4 S) S)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (a1 S) as proof of ((rel_s4 S) V0)
% 117.02/117.24 Found (x3 (a1 S)) as proof of False
% 117.02/117.24 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of False
% 117.02/117.24 Found (fun (x3:(((rel_s4 S) V0)->False))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V0)->False)->False)
% 117.02/117.24 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 117.02/117.24 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 118.82/119.05 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 118.82/119.05 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 118.82/119.05 Found a10:=(a1 W):((rel_s4 W) W)
% 118.82/119.05 Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.82/119.05 Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.82/119.05 Found (a1 W) as proof of ((rel_s4 W) V0)
% 118.82/119.05 Found (x3 (a1 W)) as proof of False
% 118.82/119.05 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of False
% 118.82/119.05 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V00)
% 118.82/119.05 Found (or_intror00 (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 118.82/119.05 Found ((or_intror0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 118.82/119.05 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 118.82/119.05 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 118.82/119.05 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 118.82/119.05 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V)
% 118.82/119.05 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V))
% 118.82/119.05 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 118.82/119.05 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 127.07/127.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 127.07/127.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 127.07/127.29 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 127.07/127.29 Found or_intror00:=(or_intror0 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)))
% 127.07/127.29 Found (or_intror0 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 127.07/127.29 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 127.07/127.29 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 127.07/127.29 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 127.07/127.29 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 127.07/127.29 Found a10:=(a1 W):((rel_s4 W) W)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found a10:=(a1 W):((rel_s4 W) W)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found (a1 W) as proof of ((rel_s4 W) V0)
% 127.07/127.29 Found (x3 (a1 W)) as proof of False
% 127.07/127.29 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of False
% 127.07/127.29 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V00)
% 127.07/127.29 Found (or_intror00 (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 127.07/127.29 Found ((or_intror0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 127.07/127.29 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 127.07/127.29 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 127.07/127.29 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 127.07/127.29 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V)
% 127.07/127.29 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V))
% 127.07/127.29 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 127.07/127.29 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 131.62/131.84 Found a10:=(a1 S):((rel_s4 S) S)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V0)
% 131.62/131.84 Found a10:=(a1 W):((rel_s4 W) W)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found a10:=(a1 W):((rel_s4 W) W)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 131.62/131.84 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found a10:=(a1 W):((rel_s4 W) W)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found (a1 W) as proof of ((rel_s4 W) V0)
% 131.62/131.84 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 131.62/131.84 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 131.62/131.84 Found a10:=(a1 S):((rel_s4 S) S)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V)
% 131.62/131.84 Found (a1 S) as proof of ((rel_s4 S) V)
% 131.62/131.84 Found (x1 (a1 S)) as proof of False
% 131.62/131.84 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of False
% 138.84/139.06 Found (fun (x1:(((rel_s4 S) V)->False))=> (x1 (a1 S))) as proof of ((((rel_s4 S) V)->False)->False)
% 138.84/139.06 Found x3:(((rel_s4 W) V0)->False)
% 138.84/139.06 Instantiate: V0:=V00:fofType;V:=W:fofType
% 138.84/139.06 Found x3 as proof of (((rel_s4 V) V00)->False)
% 138.84/139.06 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 138.84/139.06 Found ((or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 138.84/139.06 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 138.84/139.06 Found a10:=(a1 W):((rel_s4 W) W)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found a10:=(a1 S):((rel_s4 S) S)
% 138.84/139.06 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.84/139.06 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.84/139.06 Found (a1 S) as proof of ((rel_s4 S) V0)
% 138.84/139.06 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 138.84/139.06 Found a10:=(a1 W):((rel_s4 W) W)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found a10:=(a1 W):((rel_s4 W) W)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found (a1 W) as proof of ((rel_s4 W) V0)
% 138.84/139.06 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 138.84/139.06 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 138.84/139.06 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 138.84/139.06 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 138.84/139.06 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 138.84/139.06 Found x2:((rel_s4 V) V0)
% 138.84/139.06 Instantiate: V1:=V0:fofType;V:=W:fofType
% 138.84/139.06 Found x2 as proof of ((rel_s4 W) V1)
% 138.84/139.06 Found (x4 x2) as proof of False
% 138.84/139.06 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 138.84/139.06 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 138.84/139.06 Found a10:=(a1 V):((rel_s4 V) V)
% 138.84/139.06 Found (a1 V) as proof of ((rel_s4 V) V0)
% 138.84/139.06 Found (a1 V) as proof of ((rel_s4 V) V0)
% 138.84/139.06 Found (a1 V) as proof of ((rel_s4 V) V0)
% 138.84/139.06 Found (x1 (a1 V)) as proof of False
% 138.84/139.06 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 138.84/139.06 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 138.84/139.06 Found a10:=(a1 V):((rel_s4 V) V)
% 138.84/139.06 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (x3 (a1 V)) as proof of False
% 142.44/142.67 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 142.44/142.67 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 142.44/142.67 Found a10:=(a1 V):((rel_s4 V) V)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (x1 (a1 V)) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 142.44/142.67 Found a10:=(a1 V):((rel_s4 V) V)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V00)
% 142.44/142.67 Found (x3 (a1 V)) as proof of False
% 142.44/142.67 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 142.44/142.67 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 142.44/142.67 Found a10:=(a1 S):((rel_s4 S) S)
% 142.44/142.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 142.44/142.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 142.44/142.67 Found (a1 S) as proof of ((rel_s4 S) V0)
% 142.44/142.67 Found x3:(((rel_s4 W) V0)->False)
% 142.44/142.67 Instantiate: V0:=V00:fofType
% 142.44/142.67 Found x3 as proof of (((rel_s4 V) V00)->False)
% 142.44/142.67 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 142.44/142.67 Found ((or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 142.44/142.67 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 142.44/142.67 Found a10:=(a1 V):((rel_s4 V) V)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (x1 (a1 V)) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 142.44/142.67 Found a10:=(a1 W):((rel_s4 W) W)
% 142.44/142.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 142.44/142.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 142.44/142.67 Found (a1 W) as proof of ((rel_s4 W) V0)
% 142.44/142.67 Found a10:=(a1 V):((rel_s4 V) V)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (a1 V) as proof of ((rel_s4 V) V0)
% 142.44/142.67 Found (x1 (a1 V)) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 142.44/142.67 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 142.44/142.67 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 142.44/142.67 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 142.44/142.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 142.44/142.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 142.44/142.67 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 142.44/142.67 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 142.44/142.67 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 142.44/142.67 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 147.22/147.44 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 147.22/147.44 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 147.22/147.44 Found x3:(((rel_s4 S) V0)->False)
% 147.22/147.44 Instantiate: V0:=V00:fofType;V:=S:fofType
% 147.22/147.44 Found x3 as proof of (((rel_s4 V) V00)->False)
% 147.22/147.44 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 147.22/147.44 Found ((or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 147.22/147.44 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 147.22/147.44 Found a10:=(a1 V):((rel_s4 V) V)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (x3 (a1 V)) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 147.22/147.44 Found x2:((rel_s4 V) V0)
% 147.22/147.44 Instantiate: V1:=V0:fofType
% 147.22/147.44 Found x2 as proof of ((rel_s4 W) V1)
% 147.22/147.44 Found (x4 x2) as proof of False
% 147.22/147.44 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 147.22/147.44 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 147.22/147.44 Found a10:=(a1 V):((rel_s4 V) V)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (x3 (a1 V)) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 147.22/147.44 Found a10:=(a1 V):((rel_s4 V) V)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (a1 V) as proof of ((rel_s4 V) V00)
% 147.22/147.44 Found (x3 (a1 V)) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 147.22/147.44 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 147.22/147.44 Found or_intror00:=(or_intror0 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 147.22/147.44 Found (or_intror0 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 147.22/147.44 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 147.22/147.44 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 147.22/147.44 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 147.22/147.44 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 147.22/147.44 Found a10:=(a1 S):((rel_s4 S) S)
% 147.22/147.44 Found (a1 S) as proof of ((rel_s4 S) V0)
% 147.22/147.44 Found (a1 S) as proof of ((rel_s4 S) V0)
% 147.22/147.44 Found (a1 S) as proof of ((rel_s4 S) V0)
% 147.22/147.44 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 147.22/147.44 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 147.22/147.44 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 150.74/150.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 150.74/150.96 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 150.74/150.96 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 150.74/150.96 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 150.74/150.96 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 150.74/150.96 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 150.74/150.96 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 150.74/150.96 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 150.74/150.96 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 150.74/150.96 Found x3:(((rel_s4 S) V0)->False)
% 150.74/150.96 Instantiate: V0:=V00:fofType
% 150.74/150.96 Found x3 as proof of (((rel_s4 V) V00)->False)
% 150.74/150.96 Found (or_introl10 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 150.74/150.96 Found ((or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 150.74/150.96 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 150.74/150.96 Found a10:=(a1 V):((rel_s4 V) V)
% 150.74/150.96 Found (a1 V) as proof of ((rel_s4 V) V00)
% 150.74/150.96 Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.54/153.76 Found (a1 V) as proof of ((rel_s4 V) V00)
% 153.54/153.76 Found (x3 (a1 V)) as proof of False
% 153.54/153.76 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 153.54/153.76 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 153.54/153.76 Found x2:((rel_s4 V) V0)
% 153.54/153.76 Instantiate: V1:=V0:fofType;V:=W:fofType
% 153.54/153.76 Found x2 as proof of ((rel_s4 W) V1)
% 153.54/153.76 Found (x4 x2) as proof of False
% 153.54/153.76 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 153.54/153.76 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 153.54/153.76 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 153.54/153.76 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 153.54/153.76 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 153.54/153.76 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 153.54/153.76 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 153.54/153.76 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 153.54/153.76 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 153.54/153.76 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 153.54/153.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 153.54/153.76 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 157.50/157.75 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 157.50/157.75 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 157.50/157.75 Found a10:=(a1 S):((rel_s4 S) S)
% 157.50/157.75 Found (a1 S) as proof of ((rel_s4 S) V1)
% 157.50/157.75 Found (a1 S) as proof of ((rel_s4 S) V1)
% 157.50/157.75 Found (a1 S) as proof of ((rel_s4 S) V1)
% 157.50/157.75 Found (x5 (a1 S)) as proof of False
% 157.50/157.75 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 157.50/157.75 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 157.50/157.75 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 157.50/157.75 Found x2:((rel_s4 V) V0)
% 157.50/157.75 Instantiate: V1:=V0:fofType;V:=S:fofType
% 157.50/157.75 Found x2 as proof of ((rel_s4 S) V1)
% 157.50/157.75 Found (x4 x2) as proof of False
% 157.50/157.75 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 157.50/157.75 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 157.50/157.75 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 157.50/157.75 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 157.50/157.75 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 157.50/157.75 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 157.50/157.75 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 162.54/162.78 Found x2:((rel_s4 V) V0)
% 162.54/162.78 Instantiate: V1:=V0:fofType
% 162.54/162.78 Found x2 as proof of ((rel_s4 W) V1)
% 162.54/162.78 Found (x4 x2) as proof of False
% 162.54/162.78 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 162.54/162.78 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.78 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 162.54/162.78 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 162.54/162.78 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 162.54/162.78 Found a10:=(a1 W):((rel_s4 W) W)
% 162.54/162.78 Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.78 Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.78 Found (a1 W) as proof of ((rel_s4 W) V1)
% 162.54/162.78 Found (x5 (a1 W)) as proof of False
% 162.54/162.78 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 162.54/162.78 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 162.54/162.78 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 162.54/162.78 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 162.54/162.78 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 162.54/162.78 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 163.97/164.23 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 163.97/164.23 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 163.97/164.23 Found a10:=(a1 V):((rel_s4 V) V)
% 163.97/164.23 Found (a1 V) as proof of ((rel_s4 V) V0)
% 163.97/164.23 Found (a1 V) as proof of ((rel_s4 V) V0)
% 163.97/164.23 Found (a1 V) as proof of ((rel_s4 V) V0)
% 163.97/164.23 Found (x1 (a1 V)) as proof of False
% 163.97/164.23 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 163.97/164.23 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 163.97/164.23 Found a10:=(a1 S):((rel_s4 S) S)
% 163.97/164.23 Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.97/164.23 Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.97/164.23 Found (a1 S) as proof of ((rel_s4 S) V1)
% 163.97/164.23 Found (x5 (a1 S)) as proof of False
% 163.97/164.23 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 163.97/164.23 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 163.97/164.23 Found a10:=(a1 W):((rel_s4 W) W)
% 163.97/164.23 Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.97/164.23 Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.97/164.23 Found (a1 W) as proof of ((rel_s4 W) V1)
% 163.97/164.23 Found (x4 (a1 W)) as proof of False
% 163.97/164.23 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 170.38/170.64 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 170.38/170.64 Found a10:=(a1 S):((rel_s4 S) S)
% 170.38/170.64 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.38/170.64 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.38/170.64 Found (a1 S) as proof of ((rel_s4 S) V1)
% 170.38/170.64 Found (x5 (a1 S)) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 170.38/170.64 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 170.38/170.64 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 170.38/170.64 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 170.38/170.64 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 170.38/170.64 Found (x3 (a1 V0)) as proof of False
% 170.38/170.64 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 170.38/170.64 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 170.38/170.64 Found x2:((rel_s4 V) V0)
% 170.38/170.64 Instantiate: V1:=V0:fofType
% 170.38/170.64 Found x2 as proof of ((rel_s4 S) V1)
% 170.38/170.64 Found (x4 x2) as proof of False
% 170.38/170.64 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 170.38/170.64 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 170.38/170.64 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 170.38/170.64 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 170.38/170.64 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 170.38/170.64 Found a10:=(a1 W):((rel_s4 W) W)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (x5 (a1 W)) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 170.38/170.64 Found a10:=(a1 W):((rel_s4 W) W)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (a1 W) as proof of ((rel_s4 W) V1)
% 170.38/170.64 Found (x5 (a1 W)) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 170.38/170.64 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 170.38/170.64 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 174.53/174.80 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V1)))
% 174.53/174.80 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 174.53/174.80 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 174.53/174.80 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 174.53/174.80 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 174.53/174.80 Found (x3 (a1 V0)) as proof of False
% 174.53/174.80 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 174.53/174.80 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 174.53/174.80 Found a10:=(a1 W):((rel_s4 W) W)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (x4 (a1 W)) as proof of False
% 174.53/174.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 174.53/174.80 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 174.53/174.80 Found a10:=(a1 S):((rel_s4 S) S)
% 174.53/174.80 Found (a1 S) as proof of ((rel_s4 S) V1)
% 174.53/174.80 Found (a1 S) as proof of ((rel_s4 S) V1)
% 174.53/174.80 Found (a1 S) as proof of ((rel_s4 S) V1)
% 174.53/174.80 Found (x5 (a1 S)) as proof of False
% 174.53/174.80 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of False
% 174.53/174.80 Found (fun (x5:(((rel_s4 S) V1)->False))=> (x5 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 174.53/174.80 Found a10:=(a1 W):((rel_s4 W) W)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (a1 W) as proof of ((rel_s4 W) V1)
% 174.53/174.80 Found (x3 (a1 W)) as proof of False
% 174.53/174.80 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 174.53/174.80 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 174.53/174.80 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 174.53/174.80 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V2)->False)->((or (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 174.53/174.80 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 174.53/174.80 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 185.06/185.30 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 185.06/185.30 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 185.06/185.30 Found ((or_introl (((rel_s4 W) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V2)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 185.06/185.30 Found a10:=(a1 V):((rel_s4 V) V)
% 185.06/185.30 Found (a1 V) as proof of ((rel_s4 V) V0)
% 185.06/185.30 Found (a1 V) as proof of ((rel_s4 V) V0)
% 185.06/185.30 Found (a1 V) as proof of ((rel_s4 V) V0)
% 185.06/185.30 Found (x1 (a1 V)) as proof of False
% 185.06/185.30 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 185.06/185.30 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 185.06/185.30 Found a10:=(a1 W):((rel_s4 W) W)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (x5 (a1 W)) as proof of False
% 185.06/185.30 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of False
% 185.06/185.30 Found (fun (x5:(((rel_s4 W) V1)->False))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (x3 (a1 V0)) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 W):((rel_s4 W) W)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (x4 (a1 W)) as proof of False
% 185.06/185.30 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 185.06/185.30 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 W):((rel_s4 W) W)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (x3 (a1 W)) as proof of False
% 185.06/185.30 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 185.06/185.30 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 185.06/185.30 Found a10:=(a1 S):((rel_s4 S) S)
% 185.06/185.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 185.06/185.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 185.06/185.30 Found (a1 S) as proof of ((rel_s4 S) V1)
% 185.06/185.30 Found (x4 (a1 S)) as proof of False
% 185.06/185.30 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 185.06/185.30 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (x3 (a1 V0)) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 185.06/185.30 Found (x3 (a1 V0)) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 185.06/185.30 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 185.06/185.30 Found a10:=(a1 W):((rel_s4 W) W)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (a1 W) as proof of ((rel_s4 W) V1)
% 185.06/185.30 Found (x4 (a1 W)) as proof of False
% 185.06/185.30 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of False
% 199.34/199.60 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->False)
% 199.34/199.60 Found x4:((rel_s4 V) V0)
% 199.34/199.60 Instantiate: V2:=V0:fofType;V:=W:fofType
% 199.34/199.60 Found x4 as proof of ((rel_s4 W) V2)
% 199.34/199.60 Found (x6 x4) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 199.34/199.60 Found a10:=(a1 W):((rel_s4 W) W)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (x3 (a1 W)) as proof of False
% 199.34/199.60 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 199.34/199.60 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 199.34/199.60 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 199.34/199.60 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 199.34/199.60 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 199.34/199.60 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 199.34/199.60 Found (a1 V0) as proof of ((rel_s4 V0) V1)
% 199.34/199.60 Found (x3 (a1 V0)) as proof of False
% 199.34/199.60 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of False
% 199.34/199.60 Found (fun (x3:(((rel_s4 V0) V1)->False))=> (x3 (a1 V0))) as proof of ((((rel_s4 V0) V1)->False)->False)
% 199.34/199.60 Found a10:=(a1 S):((rel_s4 S) S)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (x4 (a1 S)) as proof of False
% 199.34/199.60 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of False
% 199.34/199.60 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->False)
% 199.34/199.60 Found a10:=(a1 S):((rel_s4 S) S)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (a1 S) as proof of ((rel_s4 S) V1)
% 199.34/199.60 Found (x3 (a1 S)) as proof of False
% 199.34/199.60 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of False
% 199.34/199.60 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)
% 199.34/199.60 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0))
% 199.34/199.60 Found x4:((rel_s4 V) V0)
% 199.34/199.60 Instantiate: V2:=V0:fofType
% 199.34/199.60 Found x4 as proof of ((rel_s4 W) V2)
% 199.34/199.60 Found (x6 x4) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 199.34/199.60 Found a10:=(a1 W):((rel_s4 W) W)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (a1 W) as proof of ((rel_s4 W) V1)
% 199.34/199.60 Found (x3 (a1 W)) as proof of False
% 199.34/199.60 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of False
% 199.34/199.60 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 199.34/199.60 Found (fun (x3:(((rel_s4 W) V1)->False)) (x4:((mbox_s4 (mdia_s4 p)) V0))=> (x3 (a1 W))) as proof of ((((rel_s4 W) V1)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 199.34/199.60 Found x4:((rel_s4 V) V0)
% 199.34/199.60 Instantiate: V2:=V0:fofType
% 199.34/199.60 Found x4 as proof of ((rel_s4 W) V2)
% 199.34/199.60 Found (x6 x4) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 199.34/199.60 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 199.34/199.60 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 V0) V3)->False)->((or (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 199.34/199.60 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 199.34/199.60 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 199.34/199.60 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found a10:=(a1 S):((rel_s4 S) S)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V1)
% 216.13/216.38 Found (x3 (a1 S)) as proof of False
% 216.13/216.38 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of False
% 216.13/216.38 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)
% 216.13/216.38 Found (fun (x3:(((rel_s4 S) V1)->False)) (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V0))=> (x3 (a1 S))) as proof of ((((rel_s4 S) V1)->False)->((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0))
% 216.13/216.38 Found x4:((rel_s4 V) V0)
% 216.13/216.38 Instantiate: V2:=V0:fofType
% 216.13/216.38 Found x4 as proof of ((rel_s4 W) V2)
% 216.13/216.38 Found (x6 x4) as proof of False
% 216.13/216.38 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of False
% 216.13/216.38 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 x4)) as proof of ((((rel_s4 W) V2)->False)->False)
% 216.13/216.38 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 V0) V3)->False)->((or (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 216.13/216.38 Found a10:=(a1 W):((rel_s4 W) W)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found a10:=(a1 W):((rel_s4 W) W)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V0)
% 216.13/216.38 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)))
% 216.13/216.38 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 216.13/216.38 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 216.13/216.38 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 216.13/216.38 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 216.13/216.38 Found a10:=(a1 S):((rel_s4 S) S)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.13/216.38 Found (a1 S) as proof of ((rel_s4 S) V0)
% 216.13/216.38 Found a10:=(a1 W):((rel_s4 W) W)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.13/216.38 Found (a1 W) as proof of ((rel_s4 W) V2)
% 216.13/216.38 Found (x6 (a1 W)) as proof of False
% 216.13/216.38 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 216.13/216.38 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 216.13/216.38 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 216.13/216.38 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 216.13/216.38 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 216.13/216.38 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 216.13/216.38 Found (x5 (a1 V0)) as proof of False
% 216.13/216.38 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 223.53/223.77 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s4 V0) V2)->False)->False)
% 223.53/223.77 Found or_introl20:=(or_introl2 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found (or_introl2 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 V0) V3)->False)->((or (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 223.53/223.77 Found a10:=(a1 W):((rel_s4 W) W)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found a10:=(a1 W):((rel_s4 W) W)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V0)
% 223.53/223.77 Found a10:=(a1 S):((rel_s4 S) S)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found a10:=(a1 S):((rel_s4 S) S)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found (a1 S) as proof of ((rel_s4 S) V0)
% 223.53/223.77 Found a10:=(a1 W):((rel_s4 W) W)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V2)
% 223.53/223.77 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (x6 (a1 W)) as proof of False
% 229.61/229.85 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 229.61/229.85 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 229.61/229.85 Found a10:=(a1 W):((rel_s4 W) W)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (x6 (a1 W)) as proof of False
% 229.61/229.85 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 229.61/229.85 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 229.61/229.85 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (x5 (a1 V0)) as proof of False
% 229.61/229.85 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 229.61/229.85 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s4 V0) V2)->False)->False)
% 229.61/229.85 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 229.61/229.85 Found (x5 (a1 V0)) as proof of False
% 229.61/229.85 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 229.61/229.85 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s4 V0) V2)->False)->False)
% 229.61/229.85 Found a10:=(a1 W):((rel_s4 W) W)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (a1 W) as proof of ((rel_s4 W) V2)
% 229.61/229.85 Found (x5 (a1 W)) as proof of False
% 229.61/229.85 Found (fun (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of False
% 229.61/229.85 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 229.61/229.85 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 229.61/229.85 Found or_introl20:=(or_introl2 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found (or_introl2 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 W) V3)->False)->((or (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found ((or_introl (((rel_s4 W) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 W) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 229.61/229.85 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)):((((rel_s4 V0) V3)->False)->((or (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found ((or_introl (((rel_s4 V0) V3)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)) as proof of ((((rel_s4 V0) V3)->False)->((or (((rel_s4 V1) V2)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V2)))
% 235.87/236.10 Found a10:=(a1 S):((rel_s4 S) S)
% 235.87/236.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 235.87/236.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 235.87/236.10 Found (a1 S) as proof of ((rel_s4 S) V0)
% 235.87/236.10 Found a10:=(a1 V0):((rel_s4 V0) V0)
% 235.87/236.10 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 235.87/236.10 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 235.87/236.10 Found (a1 V0) as proof of ((rel_s4 V0) V2)
% 235.87/236.10 Found (x5 (a1 V0)) as proof of False
% 235.87/236.10 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of False
% 235.87/236.10 Found (fun (x5:(((rel_s4 V0) V2)->False))=> (x5 (a1 V0))) as proof of ((((rel_s4 V0) V2)->False)->False)
% 235.87/236.10 Found a10:=(a1 W):((rel_s4 W) W)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (x6 (a1 W)) as proof of False
% 235.87/236.10 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of False
% 235.87/236.10 Found (fun (x6:(((rel_s4 W) V2)->False))=> (x6 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->False)
% 235.87/236.10 Found or_intror10:=(or_intror1 (((rel_s4 S) V1)->False)):((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)))
% 235.87/236.10 Found (or_intror1 (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 235.87/236.10 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 235.87/236.10 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 235.87/236.10 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 235.87/236.10 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V1)->False)) as proof of ((((rel_s4 S) V1)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 235.87/236.10 Found a10:=(a1 V):((rel_s4 V) V)
% 235.87/236.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 235.87/236.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 235.87/236.10 Found (a1 V) as proof of ((rel_s4 V) V0)
% 235.87/236.10 Found (x1 (a1 V)) as proof of False
% 235.87/236.10 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 235.87/236.10 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 235.87/236.10 Found a10:=(a1 W):((rel_s4 W) W)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (a1 W) as proof of ((rel_s4 W) V2)
% 235.87/236.10 Found (x5 (a1 W)) as proof of False
% 235.87/236.10 Found (fun (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of False
% 235.87/236.10 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 235.87/236.10 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 235.87/236.10 Found a10:=(a1 W):((rel_s4 W) W)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V2)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V2)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V2)
% 239.28/239.55 Found (x5 (a1 W)) as proof of False
% 239.28/239.55 Found (fun (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of False
% 239.28/239.55 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 239.28/239.55 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 239.28/239.55 Found a10:=(a1 W):((rel_s4 W) W)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 239.28/239.55 Found (a1 W) as proof of ((rel_s4 W) V0)
% 239.28/239.55 Found (x3 (a1 W)) as proof of False
% 239.28/239.55 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of False
% 239.28/239.55 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V00)
% 239.28/239.55 Found (or_intror10 (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 239.28/239.55 Found ((or_intror1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 239.28/239.55 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 239.28/239.55 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 239.28/239.55 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 239.28/239.55 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V)
% 239.28/239.55 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V))
% 239.28/239.55 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 239.28/239.55 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 246.35/246.59 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 246.35/246.59 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 246.35/246.59 Found a10:=(a1 V):((rel_s4 V) V)
% 246.35/246.59 Found (a1 V) as proof of ((rel_s4 V) V0)
% 246.35/246.59 Found (a1 V) as proof of ((rel_s4 V) V0)
% 246.35/246.59 Found (a1 V) as proof of ((rel_s4 V) V0)
% 246.35/246.59 Found (x1 (a1 V)) as proof of False
% 246.35/246.59 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 246.35/246.59 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 246.35/246.59 Found a10:=(a1 W):((rel_s4 W) W)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found a10:=(a1 W):((rel_s4 W) W)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found (a1 W) as proof of ((rel_s4 W) V0)
% 246.35/246.59 Found a10:=(a1 S):((rel_s4 S) S)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found a10:=(a1 S):((rel_s4 S) S)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found a10:=(a1 S):((rel_s4 S) S)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (a1 S) as proof of ((rel_s4 S) V0)
% 246.35/246.59 Found (x3 (a1 S)) as proof of False
% 246.35/246.59 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))) as proof of False
% 246.35/246.59 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))) as proof of ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)
% 246.35/246.59 Found (or_intror00 (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 246.35/246.59 Found ((or_intror0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 246.35/246.59 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 246.35/246.59 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 246.35/246.59 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 246.35/246.59 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of (((mbox rel_s4) (mnot ((mbox rel_s4) ((mdia rel_s4) p)))) V)
% 246.35/246.59 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of ((((rel_s4 S) V0)->False)->(((mbox rel_s4) (mnot ((mbox rel_s4) ((mdia rel_s4) p)))) V))
% 246.35/246.59 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 246.35/246.59 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 251.31/251.61 Found a10:=(a1 W):((rel_s4 W) W)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V2)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V2)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V2)
% 251.31/251.61 Found (x5 (a1 W)) as proof of False
% 251.31/251.61 Found (fun (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of False
% 251.31/251.61 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V0)
% 251.31/251.61 Found (fun (x5:(((rel_s4 W) V2)->False)) (x6:((mbox_s4 (mdia_s4 p)) V0))=> (x5 (a1 W))) as proof of ((((rel_s4 W) V2)->False)->((mnot (mbox_s4 (mdia_s4 p))) V0))
% 251.31/251.61 Found a10:=(a1 W):((rel_s4 W) W)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.31/251.61 Found (a1 W) as proof of ((rel_s4 W) V0)
% 251.31/251.61 Found (x3 (a1 W)) as proof of False
% 251.31/251.61 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of False
% 251.31/251.61 Found (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))) as proof of ((mnot (mbox_s4 (mdia_s4 p))) V00)
% 251.31/251.61 Found (or_intror10 (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 251.31/251.61 Found ((or_intror1 ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 251.31/251.61 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 251.31/251.61 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00))
% 251.31/251.61 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 258.92/259.21 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V)
% 258.92/259.21 Found (fun (x3:(((rel_s4 W) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) (fun (x4:((mbox_s4 (mdia_s4 p)) V00))=> (x3 (a1 W))))) as proof of ((((rel_s4 W) V0)->False)->((mbox_s4 (mnot (mbox_s4 (mdia_s4 p)))) V))
% 258.92/259.21 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found or_introl00:=(or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found (or_introl0 ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V00)))
% 258.92/259.21 Found a10:=(a1 W):((rel_s4 W) W)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found a10:=(a1 S):((rel_s4 S) S)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found a10:=(a1 W):((rel_s4 W) W)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found (a1 W) as proof of ((rel_s4 W) V0)
% 258.92/259.21 Found a10:=(a1 S):((rel_s4 S) S)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found a10:=(a1 S):((rel_s4 S) S)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found a10:=(a1 S):((rel_s4 S) S)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (a1 S) as proof of ((rel_s4 S) V0)
% 258.92/259.21 Found (x3 (a1 S)) as proof of False
% 258.92/259.21 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))) as proof of False
% 258.92/259.21 Found (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))) as proof of ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)
% 258.92/259.21 Found (or_intror00 (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 258.92/259.21 Found ((or_intror0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 258.92/259.21 Found (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S)))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 266.61/266.90 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 266.61/266.90 Found (fun (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of (forall (V0:fofType), ((or (((rel_s4 V) V0)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)))
% 266.61/266.90 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of (((mbox rel_s4) (mnot ((mbox rel_s4) ((mdia rel_s4) p)))) V)
% 266.61/266.90 Found (fun (x3:(((rel_s4 S) V0)->False)) (V00:fofType)=> (((or_intror (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) (fun (x4:(((mbox rel_s4) ((mdia rel_s4) p)) V00))=> (x3 (a1 S))))) as proof of ((((rel_s4 S) V0)->False)->(((mbox rel_s4) (mnot ((mbox rel_s4) ((mdia rel_s4) p)))) V))
% 266.61/266.90 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found or_introl10:=(or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found (or_introl1 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 266.61/266.90 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)))
% 266.61/266.90 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 266.61/266.90 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 266.61/266.90 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 266.61/266.90 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 274.59/274.88 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)))
% 274.59/274.88 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 274.59/274.88 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 274.59/274.88 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 274.59/274.88 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 274.59/274.88 Found a10:=(a1 S):((rel_s4 S) S)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found a10:=(a1 S):((rel_s4 S) S)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found (a1 S) as proof of ((rel_s4 S) V0)
% 274.59/274.88 Found x3:(((rel_s4 S) V0)->False)
% 274.59/274.88 Instantiate: V0:=V00:fofType;V:=S:fofType
% 274.59/274.88 Found x3 as proof of (((rel_s4 V) V00)->False)
% 274.59/274.88 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 274.59/274.88 Found ((or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 274.59/274.88 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 274.59/274.88 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 274.59/274.88 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 274.59/274.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 274.59/274.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 274.59/274.88 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 274.59/274.88 Found a10:=(a1 V):((rel_s4 V) V)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (x1 (a1 V)) as proof of False
% 274.59/274.88 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.59/274.88 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 274.59/274.88 Found a10:=(a1 V):((rel_s4 V) V)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V0)
% 274.59/274.88 Found (x1 (a1 V)) as proof of False
% 274.59/274.88 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 274.59/274.88 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 274.59/274.88 Found a10:=(a1 V):((rel_s4 V) V)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (x3 (a1 V)) as proof of False
% 274.59/274.88 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 274.59/274.88 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 274.59/274.88 Found a10:=(a1 V):((rel_s4 V) V)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (a1 V) as proof of ((rel_s4 V) V00)
% 274.59/274.88 Found (x3 (a1 V)) as proof of False
% 280.89/281.15 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 280.89/281.15 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 280.89/281.15 Found a10:=(a1 V):((rel_s4 V) V)
% 280.89/281.15 Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.15 Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.15 Found (a1 V) as proof of ((rel_s4 V) V00)
% 280.89/281.15 Found (x3 (a1 V)) as proof of False
% 280.89/281.15 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 280.89/281.15 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 280.89/281.15 Found x2:((rel_s4 V) V0)
% 280.89/281.15 Instantiate: V1:=V0:fofType;V:=W:fofType
% 280.89/281.15 Found x2 as proof of ((rel_s4 W) V1)
% 280.89/281.15 Found (x4 x2) as proof of False
% 280.89/281.15 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 280.89/281.15 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 280.89/281.15 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)))
% 280.89/281.15 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found x2:((rel_s4 V) V0)
% 280.89/281.15 Instantiate: V1:=V0:fofType;V:=S:fofType
% 280.89/281.15 Found x2 as proof of ((rel_s4 S) V1)
% 280.89/281.15 Found (x4 x2) as proof of False
% 280.89/281.15 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 280.89/281.15 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 280.89/281.15 Found a10:=(a1 S):((rel_s4 S) S)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found a10:=(a1 S):((rel_s4 S) S)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found (a1 S) as proof of ((rel_s4 S) V0)
% 280.89/281.15 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 280.89/281.15 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 280.89/281.15 Found x3:(((rel_s4 S) V0)->False)
% 280.89/281.15 Instantiate: V0:=V00:fofType
% 280.89/281.15 Found x3 as proof of (((rel_s4 V) V00)->False)
% 280.89/281.15 Found (or_introl00 x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 280.89/281.15 Found ((or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 280.89/281.15 Found (((or_introl (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) x3) as proof of ((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00))
% 280.89/281.15 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 280.89/281.15 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 288.23/288.54 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 288.23/288.54 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 288.23/288.54 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (x3 (a1 V)) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (x3 (a1 V)) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V00)
% 288.23/288.54 Found (x3 (a1 V)) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of False
% 288.23/288.54 Found (fun (x3:(((rel_s4 V) V00)->False))=> (x3 (a1 V))) as proof of ((((rel_s4 V) V00)->False)->False)
% 288.23/288.54 Found x2:((rel_s4 V) V0)
% 288.23/288.54 Instantiate: V1:=V0:fofType
% 288.23/288.54 Found x2 as proof of ((rel_s4 W) V1)
% 288.23/288.54 Found (x4 x2) as proof of False
% 288.23/288.54 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of False
% 288.23/288.54 Found (fun (x4:(((rel_s4 W) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 W) V1)->False)->False)
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (x1 (a1 V)) as proof of False
% 288.23/288.54 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 288.23/288.54 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 288.23/288.54 Found a10:=(a1 V):((rel_s4 V) V)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (a1 V) as proof of ((rel_s4 V) V0)
% 288.23/288.54 Found (x1 (a1 V)) as proof of False
% 288.23/288.54 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of False
% 288.23/288.54 Found (fun (x1:(((rel_s4 V) V0)->False))=> (x1 (a1 V))) as proof of ((((rel_s4 V) V0)->False)->False)
% 288.23/288.54 Found x2:((rel_s4 V) V0)
% 288.23/288.54 Instantiate: V1:=V0:fofType
% 288.23/288.54 Found x2 as proof of ((rel_s4 S) V1)
% 288.23/288.54 Found (x4 x2) as proof of False
% 288.23/288.54 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of False
% 288.23/288.54 Found (fun (x4:(((rel_s4 S) V1)->False))=> (x4 x2)) as proof of ((((rel_s4 S) V1)->False)->False)
% 288.23/288.54 Found a10:=(a1 S):((rel_s4 S) S)
% 288.23/288.54 Found (a1 S) as proof of ((rel_s4 S) V0)
% 288.23/288.54 Found (a1 S) as proof of ((rel_s4 S) V0)
% 288.23/288.54 Found (a1 S) as proof of ((rel_s4 S) V0)
% 288.23/288.54 Found or_introl10:=(or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)):((((rel_s4 W) V1)->False)->((or (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 288.23/288.54 Found (or_introl1 ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 288.23/288.54 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 288.23/288.54 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 288.23/288.54 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 290.31/290.57 Found ((or_introl (((rel_s4 W) V1)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)) as proof of ((((rel_s4 W) V1)->False)->((or (((rel_s4 V) V0)->False)) ((mnot (mbox_s4 (mdia_s4 p))) V0)))
% 290.31/290.57 Found or_intror00:=(or_intror0 (((rel_s4 S) V2)->False)):((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)))
% 290.31/290.57 Found (or_intror0 (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 S) V2)->False)) as proof of ((((rel_s4 S) V2)->False)->((or ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found or_intror10:=(or_intror1 (((rel_s4 W) V2)->False)):((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)))
% 290.31/290.57 Found (or_intror1 (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found ((or_intror ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 W) V2)->False)) as proof of ((((rel_s4 W) V2)->False)->((or ((mnot (mbox_s4 (mdia_s4 p))) V0)) (((rel_s4 V) V0)->False)))
% 290.31/290.57 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)):((((rel_s4 S) V1)->False)->((or (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 290.31/290.57 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 290.31/290.57 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 290.31/290.57 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 290.31/290.57 Found ((or_introl (((rel_s4 S) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)) as proof of ((((rel_s4 S) V1)->False)->((or (((rel_s4 V) V00)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V00)))
% 290.31/290.57 Found or_introl00:=(or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)):((((rel_s4 S) V2)->False)->((or (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 290.31/290.57 Found (or_introl0 ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 290.31/290.57 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((rel_s4 V0) V1)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)))
% 290.31/290.57 Found ((or_introl (((rel_s4 S) V2)->False)) ((mnot ((mbox rel_s4) ((mdia rel_s4) p))) V1)) as proof of ((((rel_s4 S) V2)->False)->((or (((r
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